Exact Solution of Radiative Transfer Equation for Three Dimensional Rectangular Linearly Scattering Medium

OpenAlex İngilizce

DOI: 10.2514/1.50910 Three-dimensional radiative integral transfer equations for a cubic absorbing, emitting, and anisotropically scattering homogeneous medium are solved. To remove existing singularities of the radiative integral transfer equations, the surface and volume integrals arising from the application of the subtraction of the singularity technique are analytically treated to ensure highly accurate solutions and to reduce the computational time. The resulting system of linear equations from the integral equations of the incident energy and the net partial heat fluxes are solved iteratively. Three benchmark problems for a cold participating medium, subjected to externally diffuse radiation loads in various combinations, are considered. The solutions for the incident energy and the net partial radiative heat fluxes are given in tabular and/or graphical form for scattering albedos of !0 0:01, 0.5, and 1.